An ideal gas is heated from termperature `T_(1)` to `T_(2)` under various conditions. The correct statements(s) is/are:-

Options

A. `DeltaU = nC_(V)(T_(2)-T_(1))` for isobaric , isochoric and adiabatic process
B. Work is done at expense of internal energy in an adiabatic process and both have equal values
C. `DeltaU = 0` for an isothermal process
D. `C=0` for an adiabatic process

Answer

A, B, C, D

Explanation

For any process `DeltaU = nC_(V)DeltaT`
In adiabatic process
`Q = DeltaU + W = 0 implies DeltaU = -W`
For any process
`C=(DeltaU)/(nDeltaT) + (W)/(nDeltaT) = (Q)/(nDelta) = (DeltaU)/(nDeltaT) +(P)/(n)((DeltaV)/(DeltaT))`
For `Q = 0 ,C=0` (adibatic process)